Answer:
m = -5
n = -2
Explanation:
5m + 6n = -37
10m + 4n = -58 multiply first equation by -2
-2 × 5m + 6n = -37
-10m + (-12n) = 74 now add two equations up
10m - 10m + 4n - 12n = 74 - 58 add/ subtract like terms
-8n = 16 divide both sides by -8
n = -2
to find the value of m, replace n with -2 in the first equation
5m + 6*(-2) = -37
5m - 12 = -37 add 12 to both sides
5m = -25 divide both sides by 5
m = -5